answer these questions please

1) i^{9} + i^{19} = i^{2 \times 4 + 1} + i^{2 \times 9 + 1} = {(i^{2})}^{4} \times i + (i^{2})^{9} \times i = (- 1)^{4} \times i + (- 1)^{9} \times i = i - i = 0 2) i^{35} + \frac{1}{i^{65}} = i^{2 \times 17 + 1} + \frac{1}{i^{2 \times 32 + 1}} = {(i^{2})}^{17} \times i + \frac{1}{(i^{2})^{32} i} = (- 1)^{17} \times i + \frac{1}{(- 1)^{32} i} = - i + \frac{1}{i} = - i + \frac{i}{i^{2}} = - i - i = - 2 i Similarly try other part